Step |
Hyp |
Ref |
Expression |
1 |
|
df-ack |
|
2 |
1
|
fveq1i |
|
3 |
|
nn0uz |
|
4 |
|
id |
|
5 |
|
eqid |
|
6 |
1
|
eqcomi |
|
7 |
6
|
fveq1i |
|
8 |
7
|
a1i |
|
9 |
|
eqidd |
|
10 |
|
nn0p1gt0 |
|
11 |
10
|
gt0ne0d |
|
12 |
11
|
adantr |
|
13 |
|
neeq1 |
|
14 |
13
|
adantl |
|
15 |
12 14
|
mpbird |
|
16 |
15
|
neneqd |
|
17 |
16
|
iffalsed |
|
18 |
|
simpr |
|
19 |
17 18
|
eqtrd |
|
20 |
|
peano2nn0 |
|
21 |
9 19 20 20
|
fvmptd |
|
22 |
3 4 5 8 21
|
seqp1d |
|
23 |
|
eqidd |
|
24 |
|
fveq2 |
|
25 |
24
|
fveq1d |
|
26 |
25
|
fveq1d |
|
27 |
26
|
mpteq2dv |
|
28 |
27
|
ad2antrl |
|
29 |
|
fvexd |
|
30 |
|
ovexd |
|
31 |
|
nn0ex |
|
32 |
31
|
mptex |
|
33 |
32
|
a1i |
|
34 |
23 28 29 30 33
|
ovmpod |
|
35 |
22 34
|
eqtrd |
|
36 |
2 35
|
eqtrid |
|